Linear Equations

Slope-Intercept Form

100

Write an equation in slope-intercept form of the line that passes through the origin and has a slope of 3. 

y = 3x

200

Write an equation in slope-intercept form of the line that passes through the points (2, -2) and (0, 3).

y = -(5/2)x + 3

300

Write an equation in slope-intercept form of the line that passes through the points (8, -3) and (10, -5).

y = -x +5

400

You can rent a bike for a fee of $4 plus $1.50 per hour. 

a. Write an equation in slope-intercept form to represent this. 

b. How much would it cost to rent a bike for 2 hours?

a. y=1.5x+4

b. $7

500

Write an equation in slope-intercept form of the line that passes through the points (1/3, 1/2) and (2/3, 3/2).

y = 3x - (1/2)

Point-Slope Form

100

Write an equation in point-slope form of the line that has a slope of 8 and passes through the point (4, -2)

y+2=8(x-4)

200

Write an equation in point-slope form of the line that has a slope of -2/3 and passes through the point (3, -5)

y+5 = (-2/3)*(x-3)

300

Write an equation in point-slope form of the line that passes through the points (-1, 12) and (4, -8)

y-12=-4(x+1)

y+8=-4(x-4)

400

Write an equation in point-slope form of the line that passes through the points (-7, -2) and (-6, -10)

y+2=-8(x+7)

y+10=-8(x+6)

500

Graph the equation: y-3=-(x+2)

m=-1

point: (-2,3)

Standard Form

100

Write the following equation in standard form: 

y = 3x - 6

-3x + y = -6 

200

Write the following equation in standard form: 

y - 2 = 2(x - 4)

-2x +y = -6

300

Find the y-intercept:

0.5x - 2y = 3

y = -3/2

400

Find the x-intercept:

12x - 10y = -240

x= -20

500

Graph the equation:

4x - 3y = 24

x-int:   x=6

y-int:   y=-8

Parallel & Perpendicular Lines

100

Write an equation of the line that passes through the point (-10, 7) and is parallel to the line y=(1/2)x+5

y= (1/2)x + 12

200

Write an equation of the line that passes through the point (1, -7) and is parallel to the line y=2x+3

y= 2x - 9

300

Write an equation of the line that passes through the origin and is parallel to the line y=-2x+4

y=-2x

400

Write an equation of the line that passes through the point (2, 0) and is perpendicular to the line y=-4x+5

y=(1/4)x - (1/2)

500

Write an equation of the line that passes through the point (3, 1/3) and is perpendicular to the line y=9x-10

y=(-1/9)x+(2/3)

Function Notation

100

What is the value of f(x) = 2x - 6 when x=0?

f(0) = -6

200

What is the value of h(x) = -2x + 9 when x=5?

h(5) = -1

300

What is the value of r(a) = -a - 7 when a=-2?

r(-2)= -5

400

For m(x)= 4x + 15, find the value of x so that m(x) = 7

x = -2

500

For k(b)= 6b - 12, find the value of b so that k(b) = 18

b = 5